Electro-Mechanical Transition in Quantum dots

Abstract

The strong coupling between electronic transport in a single-level quantum dot and a capacitively coupled nano-mechanical oscillator may lead to a transition towards a mechanically-bistable and blocked-current state. Its observation is at reach in carbon-nanotube state-of-art experiments. In a recent publication [Phys. Rev. Lett. 115, 206802 (2015)] we have shown that this transition is characterized by pronounced signatures on the oscillator mechanical properties: the susceptibility, the displacement fluctuation spectrum and the ring-down time. These properties are extracted from transport measurements, however the relation between the mechanical quantities and the electronic signal is not always straightforward. Moreover the dependence of the same quantities on temperature, bias or gate voltage, and external dissipation has not been studied. The purpose of this paper is to fill this gap and provide a detailed description of the transition. Specifically we find: (i) The relation between the current-noise and the displacement spectrum. (ii) The peculiar behavior of the gate-voltage dependence of these spectra at the transition. (iii) The robustness of the transition towards the effect of external fluctuations and dissipation.

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Cited by in corpus (12)

• Ultrasensitive Displacement Noise Measurement of Carbon Nanotube Mechanical Resonators
• Signatures of the Current Blockade Instability in Suspended Carbon Nanotubes
• Current-induced atomic motion, structural instabilities, and negative temperatures on molecule-electrode interfaces in electronic junctions
• Ultrastrong coupling between electron tunneling and mechanical motion
• Transient dynamics in interacting nanojunctions within self-consistent perturbation theory
• Bistability and Displacement Fluctuations in a Quantum Nano-mechanical Oscillator
• Charge-vibration interaction effects in normal-superconductor quantum dots
• Phase-Coherent Dynamics of Quantum Devices With Local Interactions
• Emergence of negative viscosities and colored noise under current-driven Ehrenfest molecular dynamics
• Sensitivity of the mixing current technique to detect nano-mechanical motion
• Tunable anharmonicity in cavity optomechanics in the unresolved sideband regime
• Fine structure of current noise spectra in nanoelectromechanical resonators